SOLUTION: The half-life of a certain radioactive material is 71 hours. An initial amount of the material has a mass of 722 kg. Write an exponential function that models the decay of this mat
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: The half-life of a certain radioactive material is 71 hours. An initial amount of the material has a mass of 722 kg. Write an exponential function that models the decay of this mat
Log On
Question 624088: The half-life of a certain radioactive material is 71 hours. An initial amount of the material has a mass of 722 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 17 hours. Round your answer to the nearest thousandth.
You can put this solution on YOUR website! The half-life of a certain radioactive material is 71 hours. An initial amount of the material has a mass of 722 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 17 hours. Round your answer to the nearest thousandth.
:
Use the radioactive decay formula: A = Ao*2^(-t/h), where
A = resulting amt after t time
Ao = initial amt (t=0)
t = time of decay
h = half-life of substance
:
when t = 17 hrs
A = 722*2^(-17/71)
find 2^(-17/71) with a calc
A = 722*.847076
A = 611.59 kg after 17 hrs
